Question

the solution to an inequality is represented by the number line.
how can this same solution be written using set - builder notation?
{ x | x > \boxed{} }

Explanation:

Step1: Analyze the number line

The number line has an open circle at 3 and the arrow points to the right, which means the solution includes all numbers greater than 3.

Step2: Write in set - builder notation

In the set - builder notation \(\{x|x>\square\}\), we need to fill in the number that \(x\) is greater than. From the number line analysis, that number is 3.

Answer:

3